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Finding the Fourth Proportional to 21,031.46, 31,545.95 and 7,882.73

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Solution

The fourth proportional to 21,031.46, 31,545.95 and 7,882.73 is: 11,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.46 : 31,545.95 = 7,882.73 : x
  2. Step 2: Convert to fraction form
    21,031.46/31,545.95 = 7,882.73/x
  3. Step 3: Cross multiply
    21,031.46x = 31,545.95 × 7,882.73
  4. Step 4: Simplify right side
    21,031.46x = 248,668,107.87
  5. Step 5: Solve for x
    x = 248,668,107.87/21,031.46
  6. Step 6: Final answer
    x = 11,823.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.